Theorems · Theorem · functional analysis
WeakDual.extendRCLikeL_symm_apply_apply
∀ {𝕜 : Type u_5} {F : Type u_7} [inst : RCLike 𝕜] [inst_1 : AddCommGroup F] [inst_2 : Module 𝕜 F]
[inst_3 : TopologicalSpace F] [inst_4 : ContinuousConstSMul 𝕜 F] [inst_5 : Module ℝ F] [inst_6 : IsScalarTower ℝ 𝕜 F]
(f : WeakDual 𝕜 F) (x : F), (WeakDual.extendRCLikeL.symm f) x = RCLike.re (f x)- Defined in
- Mathlib.Analysis.Normed.Module.WeakDual
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- IsScalarTowerstatement and proof · cited by 3,896
- AddMonoidHomstatement · cited by 3,230
- RCLikestatement and proof · cited by 2,829
- ContinuousConstSMulstatement and proof · cited by 832
- ContinuousLinearEquivstatement · cited by 743
- ContinuousLinearEquiv.symmstatement · cited by 368
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